> So perhaps pay is so high just to find a CEO whom isn't a bad hire.

There's some theories that posit that high CEO pay isn't to reward the CEO for their work directly but to motivate everyone under the CEO to work their ass off in hopes of one day becoming the CEO. Motivating the workforce in this manner makes the company sufficiently more productive as to make it worth paying those high salaries; even if the CEO doesn't actually produce anything themselves. I believe it's called a tournament-style system or something.

It's pretty bleak-sounding.